211121220101200 has 60 divisors (see below), whose sum is σ = 507354609173308. Its totient is φ = 84425865292800.

The previous prime is 211121220101191. The next prime is 211121220101227. The reversal of 211121220101200 is 2101022121112.

It can be written as a sum of positive squares in 6 ways, for example, as 37831061284416 + 173290158816784 = 6150696^2 + 13163972^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69201021 + ... + 72187420.

Almost surely, 2^{211121220101200} is an apocalyptic number.

211121220101200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211121220101200 is an abundant number, since it is smaller than the sum of its proper divisors (296233389072108).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211121220101200 is a wasteful number, since it uses less digits than its factorization.

211121220101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141392192 (or 141392181 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 211121220101200 its reverse (2101022121112), we get a palindrome (213222242222312).

The spelling of 211121220101200 in words is "two hundred eleven trillion, one hundred twenty-one billion, two hundred twenty million, one hundred one thousand, two hundred".